Maths Exam

1. Simplify 1

Simplify the following expression: $$ {\left(4 + 5\right)}^{2} - \left(4(-1) + 1\times4\right) $$
Correct Answer
$$ 81$$ or 81.0000

2. Simplify 2

Simplify the following expression: $$ 2\left(-5 - -6\right)\left(-6\times5 - {6}^{6}\right) $$
Correct Answer
$$ -93372$$ or -93372.0

3. Fractions 1

Simplify the following expression: $$ \frac{-3}{4} + \frac{1}{6} $$
Correct Answer
$$ \frac{-7}{12}$$ or -0.5833333333333334

4. Fractions 2

Simplify the following expression: $$ \frac{-1}{3}\frac{-1}{2} $$
Correct Answer
$$ \frac{1}{6}$$ or 0.16666666666666666

5. Significant figures

1. Write the following to 2 significant figures: 0.00025748849
Correct Answer
0.00026 or $$2.6\times10^{-4}$$
2. Write the following to 3 significant figures: 7.8039966
Correct Answer
7.80 or $$7.80\times10^{0}$$

6. Standard Form

1. Write the following in standard form to 2 significant digits: 0.0000000167321
Correct Answer
$$1.7\times10^{-8}$$
2. Write the following in standard form to 3 significant digits: 0.000000333832
Correct Answer
$$3.34\times10^{-7}$$

7. Significant figures

1. Write the following in preferred standard form to 2 significant digits: 70.26
Correct Answer
$$70\times10^{0}$$
2. Write the following in preferred standard form to 4 significant digits: 563827
Correct Answer
$$563.8\times10^{3}$$

8. Simplify 2

Simplify the following expression: $$ {\left(6\times5 + \frac{-2}{3}\right)}^{2{(-4)}^{5}} $$
Correct Answer
$$ {\left(\frac{88}{3}\right)}^{-2048}$$ or 0.0

9. Simplify 1

Simplify the following expression: $$ 2(-4)5\left(5\times4 + -4 - -3\right) $$
Correct Answer
$$ -760$$ or -760.000

10. Simplify 2

Simplify the following expression: $$ \frac{2\left(2 - 5\right)}{-5 + -4 - \frac{4}{6}} $$
Correct Answer
$$ \frac{18}{29}$$ or 0.620690


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